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10230010200 = 2332527971941
BaseRepresentation
bin10011000011100000…
…11001000101011000
3222101221120100210200
421201300121011120
5131422340311300
64411040342200
7511336436424
oct114160310530
928357510720
1010230010200
11437a635093
121b96014960
13c70551297
146d0917b84
153ed194200
hex261c19158

10230010200 has 144 divisors (see below), whose sum is σ = 34791151200. Its totient is φ = 2693433600.

The previous prime is 10230010183. The next prime is 10230010201. The reversal of 10230010200 is 201003201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230010201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106230 + ... + 178170.

Almost surely, 210230010200 is an apocalyptic number.

10230010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10230010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395575600).

10230010200 is an abundant number, since it is smaller than the sum of its proper divisors (24561141000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10230010200 is a wasteful number, since it uses less digits than its factorization.

10230010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72042 (or 72030 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10230010200 its reverse (201003201), we get a palindrome (10431013401).

The spelling of 10230010200 in words is "ten billion, two hundred thirty million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 79 90 100 120 150 158 180 200 225 237 300 316 360 395 450 474 600 632 711 790 900 948 1185 1422 1580 1800 1896 1975 2370 2844 3160 3555 3950 4740 5688 5925 7110 7900 9480 11850 14220 15800 17775 23700 28440 35550 47400 71100 71941 142200 143882 215823 287764 359705 431646 575528 647469 719410 863292 1079115 1294938 1438820 1726584 1798525 2158230 2589876 2877640 3237345 3597050 4316460 5179752 5395575 5683339 6474690 7194100 8632920 10791150 11366678 12949380 14388200 16186725 17050017 21582300 22733356 25898760 28416695 32373450 34100034 43164600 45466712 51150051 56833390 64746900 68200068 85250085 102300102 113666780 129493800 136400136 142083475 170500170 204600204 227333560 255750255 284166950 341000340 409200408 426250425 511500510 568333900 682000680 852500850 1023001020 1136667800 1278751275 1705001700 2046002040 2557502550 3410003400 5115005100 10230010200